Mastering Cartesian Plane: Step-by-Step Guide to Plotting Points (Full Transcript)

Speaker 1: Hi guys it's me Teacher Ergon. In today's video we will talk about plotting of points on Cartesian plane. So last time we have a video wherein we discuss the different parts of the Cartesian plane here and we also have the part of that video wherein we identified the quadrant of each given points on a Cartesian plane and right now our topic today is all about plotting of points. If you want to watch that video, I will link I will put the link in our description box so that you can learn more about Cartesian plane. So without further ado, let's do this topic. We are asked here to plot the following points. We have here five different given points or ordered pairs that we need to put here in our Cartesian plane. Now, why did I tell you that we have a video about identifying the quadrant because it will help you to easily identify where the part of the Cartesian plane is located in your points. So let's say for example, this is our 5, 3. Since 5, 3 are both positive and positive meaning the location of that is here in our quadrant number 1. So how can we plot the points? If you notice guys, our Cartesian plane or our ordered pair, its actual format is X comma Y. Always look at the X value or our abscissa. Here in our 5, 3 this is your X and this is your Y. If 5 is equal to X meaning you will go through the X-axis and look for where is 5 or positive 5 on our X-axis and definitely it is located here on the right side. Here it is. Next, this number is our Y which is equal to 3. If your Y is equal to 3 or positive 3, you will go through the Y-axis and look for positive 3. Here it is. Now, if we plot the points of 5, 3, you will simply draw a line here. I will show you step-by-step process until it meets our perpendicular lines between 5 from X-axis and 3 from Y-axis and definitely this is our plotted point. To help you understand it well, I will suggest that you put a label. So we have here 5 comma 3 for that point. Next, let's move on with item number 2. For number 2, we have negative 5 comma 2 but we are not using broken lines. I just showed you the basic way on how to do it but let's try without the broken lines. Negative 5 comma 2. This is your X and this is your Y. Since your X is negative 5, it is here. Your Y is positive 2, it is here. It means it is quadrant number 2. So, start with negative 5, here we are, negative 5 We will increase 2 units 1 and 2 until we meet this. So, this is your negative 5 comma 2. Let's put a label. Negative 5 comma 2. Okay. Next, let's move on with number 3. Number 3 are both negative. We have negative 1 and negative 3. So, here, since the two ordered pairs or the two coordinates are both negative, it is here in quadrant number 3. Start with this. This is your X. This is your negative 1. Your Y is negative 3. From here, I will lower 3 units. 1, 2, and 3 until I meet negative 3. Here's the location of negative 1 comma 3. Next, number 4. For number 4, we have this. 4 and negative 2. So, here, the X is positive. Your Y is negative. This is definitely in quadrant number 4. So, here, what we will do is locate number 4 on the X-axis. It's on the right side because it's positive. You have your 4 and then since your Y is negative 2, from here, we will go down 2 units. 1 and 2. So, this is the location of 4 and negative 2. Okay, guys. I hope in our first 4 examples, you got the concept. Now, let's move on with item number 5. For number 5, you have 0 comma negative 3. Correct? Now, this is what we learned in our previous video. If I have a 0, either X or Y, it belongs to the axis. It's located on our axis. Start with 0 on the X-axis. Our X-axis is 0 here. Now, our Y is negative 3. We will go down 3 units. 1 and 2. 1, 2, and 3. Until we reach negative 3. This is the point. So, sir, let's do it again. Your X is 0. X-axis. Start here. It's in the middle because it's 0 on the X-axis. Then, since your Y is negative 3, you will go down 3 units. 1, 2, and 3. Here is the location of 0 comma negative 3. I hope, guys, you learned something from this video on how to plot points on a partition plane. Again, guys, if you're new to my channel, don't forget to like and subscribe. Hit the bell button for you to be updated on our uploads. Again, it's me, Teacher Gon. Thank you very much. Bye-bye.